QED spectra in the path integral formalism

Abstract

Relativistic Hamiltonians, derived from the path integrals, are known to provide a simple and useful formalism for hadrons spectroscopy in QCD. The accuracy of this approach is tested using the QED systems, and the calculated spectrum is shown to reproduce exactly that of the Dirac hydrogen atom, while the Breit-Fermi nonrelativistic expansion is obtained using Foldy-Wouthuizen transformation. Calculated positronium spectrum, including spin-dependent terms, coincides with the standard QED perturbation theory to the considered order O(alpha^s).

18 pages

References in corpus (4)

• Precision Study of Positronium: Testing Bound State QED Theory
• Spin-dependent interactions in quarkonia
• The Spinless Relativistic Woods-Saxon Problem
• The Hyperfine Splittings in Heavy-Light Mesons and Quarkonia

Cited by in corpus (8)

• Boosting QED and QCD bound states in the path integral formalism
• Magnetic susceptibility at zero and nonzero chemical potential in QCD and QED
• Nonperturbative approach to the parton model
• Exact relativistic Green's functions for the time-independent potentials
• Proton and neutron form factors with quark orbital excitations
• Strong decays with the boost-corrected wave functions
• Hadron Form Factors with the Boost-Corrected Wave Functions
• Hadron wave functions in high-energy scattering, form factors and strong decays: the effects of the Lorentz contracted form